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Finding the Third Proportional to 184,027 and 260,968

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Solution

The third proportional to 184,027 and 260,968 is: 370,077.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,027 : 260,968 = 260,968 : x
  2. Step 2: Convert to fraction form
    184,027/260,968 = 260,968/x
  3. Step 3: Cross multiply
    184,027x = 260,968 × 260,968
  4. Step 4: Simplify right side
    184,027x = 68,104,297,024
  5. Step 5: Solve for x
    x = 68,104,297,024/184,027
  6. Step 6: Final answer
    x = 370,077.74

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.